Question

You're having dinner at a restaurant that serves

Answer 1

Answer:

2/5

Step-by-step explanation:

Answer 2

Answer:

Bow ties: 1/5

Cheese sauce: 1/4

Bow ties with cheese sauce: 1/20

Step-by-step explanation:

There are 3 different questions here.

First, you have the pasta question.  What is the probability you'll end up with bow ties?  Well, there are 5 kinds of pasta, all with the same chance to be chosen... so you have 1 chance out of 5 to pick bow ties.

Then the sauce.  Same logic... 4 different sauces...  so 1/4 chance to get the cheese sauce.

For the bow ties and cheese sauce combo, it's a bit different, we're talking about compound probabilities here.

So, you have to multiply the probability  to get bow ties with the probability to get cheese sauce, so:

$\frac{1}{5} * \frac{1}{4} = \frac{1}{20}$